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USACO Section 2.1 The Castle
/* ID: lucien23 PROG: castle LANG: C++ */ /************************************************************************/ /* 求图的连通域问题。利用广度扫描 */ /************************************************************************/ #include <iostream> #include <fstream> #include <map> #include <vector> #include <queue> using namespace std; typedef struct Position { int row; int col; Position(){} Position (int r, int c) { row = r; col = c; } } Position; bool isPrior(Position pos1, char direction1, Position pos2, char direction2); int main() { ifstream infile("castle.in"); ofstream outfile("castle.out"); if(!infile || !outfile) { cout << "file operation failure!" << endl; return -1; } int M, N; infile >> M >> N; int ***walls = new int**[N]; for (int i=0; i<N; i++) { walls[i] = new int*[M]; for (int j = 0; j < M; j++) { walls[i][j] = new int[6](); infile >> walls[i][j][0]; switch (walls[i][j][0]) { case 0: break; case 1: walls[i][j][1] = 1; break; case 2: walls[i][j][2] = 1; break; case 3: walls[i][j][1] = 1; walls[i][j][2] = 1; break; case 4: walls[i][j][3] = 1; break; case 5: walls[i][j][1] = 1; walls[i][j][3] = 1; break; case 6: walls[i][j][2] = 1; walls[i][j][3] = 1; break; case 7: walls[i][j][1] = 1; walls[i][j][2] = 1; walls[i][j][3] = 1; break; case 8: walls[i][j][4] = 1; break; case 9: walls[i][j][1] = 1; walls[i][j][4] = 1; break; case 10: walls[i][j][2] = 1; walls[i][j][4] = 1; break; case 11: walls[i][j][1] = 1; walls[i][j][2] = 1; walls[i][j][4] = 1; break; case 12: walls[i][j][3] = 1; walls[i][j][4] = 1; break; case 13: walls[i][j][1] = 1; walls[i][j][3] = 1; walls[i][j][4] = 1; break; case 14: walls[i][j][2] = 1; walls[i][j][3] = 1; walls[i][j][4] = 1; break; case 15: walls[i][j][1] = 1; walls[i][j][2] = 1; walls[i][j][3] = 1; walls[i][j][4] = 1; break; default: break; } } } vector<int> components; int cnt = 0; for (int i=0; i<N; i++) { for (int j=0; j<M; j++) { if (walls[i][j][5] == 0) { cnt++; components.push_back(0); queue<Position> nodes; nodes.push(Position(i, j)); while (!nodes.empty()) { Position pos = nodes.front(); int m = pos.row; int n = pos.col; int *currentNode = walls[m][n]; nodes.pop(); if (currentNode[5] != 0) continue; components[cnt-1]++; currentNode[5] = cnt; if (currentNode[1] == 0 && walls[m][n-1][5] == 0) { nodes.push(Position(m ,n-1)); } if (currentNode[2] == 0 && walls[m-1][n][5] == 0) { nodes.push(Position(m-1, n)); } if (currentNode[3] == 0 && walls[m][n+1][5] == 0) { nodes.push(Position(m, n+1)); } if (currentNode[4] == 0 && walls[m+1][n][5] == 0) { nodes.push(Position(m+1, n)); } } } } } int newRoom = 0; Position wallPos; char dirction; for (int i=0; i<N; i++) { for (int j=0; j<M; j++) { if (walls[i][j][1] == 1 && j-1>=0 && walls[i][j][5] != walls[i][j-1][5]) { int sum = components[walls[i][j][5]-1] + components[walls[i][j-1][5]-1]; Position newPos = Position(i, j-1); if (sum > newRoom || (sum == newRoom && isPrior(newPos, ‘E‘, wallPos, dirction))) { newRoom = sum; wallPos = newPos; dirction = ‘E‘; } } if (walls[i][j][2] == 1 && i-1>=0 && walls[i][j][5] != walls[i-1][j][5]) { int sum = components[walls[i][j][5]-1] + components[walls[i-1][j][5]-1]; Position newPos = Position(i, j); if (sum > newRoom || (sum == newRoom && isPrior(newPos, ‘N‘, wallPos, dirction))) { newRoom = sum; wallPos = newPos; dirction = ‘N‘; } } if (walls[i][j][3] == 1 && j+1<M && walls[i][j][5] != walls[i][j+1][5]) { int sum = components[walls[i][j][5]-1] + components[walls[i][j+1][5]-1]; Position newPos = Position(i, j); if (sum > newRoom || (sum == newRoom && isPrior(newPos, ‘E‘, wallPos, dirction))) { newRoom = sum; wallPos = newPos; dirction = ‘E‘; } } if (walls[i][j][4] == 1 && i+1<N && walls[i][j][5] != walls[i+1][j][5]) { int sum = components[walls[i][j][5]-1] + components[walls[i+1][j][5]-1]; Position newPos = Position(i+1, j); if (sum > newRoom || (sum == newRoom && isPrior(newPos, ‘N‘, wallPos, dirction))) { newRoom = sum; wallPos = newPos; dirction = ‘N‘; } } } } int maxRoom = components[0]; for (int i=1; i<cnt; i++) { if (components[i] > maxRoom) maxRoom = components[i]; } outfile << cnt << endl << maxRoom << endl << newRoom << endl << wallPos.row+1 << " " << wallPos.col+1 << " " << dirction <<endl; return 0; } bool isPrior(Position pos1, char direction1, Position pos2, char direction2) { if(pos1.col < pos2.col || (pos1.col == pos2.col && pos1.row > pos2.row) || (pos1.col == pos2.col && pos1.row == pos2.row && direction1 == ‘N‘ && direction2 == ‘E‘)) { return true; } return false; }
USACO Section 2.1 The Castle
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